School of Mathematical Sciences

Quantum Mathematics Seminar: Xiao Han (Queen Mary)

Physics B13
Wednesday 23rd November 2022 (14:00-15:00)

Robert Laugwitz (organizer)


Quantum Maths Seminar, external speaker.

Speaker: Xiao Han (Queen Mary University, London)

Title: Hopf-Galois Extensions and Twisted Hopf algebroids

Abstract: We show that the Ehresmann-Schauenburg bialgebroid of a quantum principal bundle P or Hopf Galois extension with structure quantum group H is in fact a left Hopf algebroid CL(P,H). We look cleft extension of a certain `associative type' where ▷ is an actual action. In this case also, we show that the associated left Hopf algebroid has an antipode obeying our minimal axioms. We show that if CL is any left Hopf algebroid then so is its cotwist CLς as an extension of the previous bialgebroid Drinfeld cotwist theory.


One-hour in-person talk

School of Mathematical Sciences

The University of Nottingham
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Nottingham, NG7 2RD

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